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Natali [406]
3 years ago
11

Pattern in 6, 7, 13, 20, ?

Mathematics
1 answer:
Len [333]3 years ago
3 0
This is a Fibonacci sequence:

6, 7, 13, 20, 33, 53, 86, 139, 225, ...
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Kristin wants to make 12 ml of an 8% alcohol solution by mixing together a 32% alcohol solution and pure water. How much of each
Vikentia [17]

Answer:

6% of each

Step-by-step explanation:

5 0
3 years ago
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Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
3 years ago
Suppose the heights of women at a college are approximately Normally distributed with a mean of 65 inches and a population stand
Zigmanuir [339]

Answer:

Step-by-step explanation:

Hello!

The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.

You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:

P(X≤x₀)= 0.20

To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:

P(Z≤z₀)=0.20

z₀= -0.842

z₀= (x₀-μ)/σ

z₀*σ= (x₀-μ)

x₀= (z₀*σ)+μ

x₀= (-0.842*1.5)+65

x₀= 63.737 inches

I hope it helps!

6 0
3 years ago
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Whats the common ratio of the sequence 7.04 Q14​
julsineya [31]

Answer:

\frac{1}{4}

Step-by-step explanation:

The given sequence is a geometric sequence.

We can find the common ratio using any two consecutive terms of the sequence.

r=\frac{\frac{-1}{10} }{\frac{x-2}{5} }=\frac{-1}{10}\times \frac{-5}{2}=\frac{1}{4}

The common ratio is \frac{1}{4}

4 0
3 years ago
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On Saturday,
Gwar [14]

Answer:

27648

Step-by-step explanation:

if Frannie ran 9 216 miles and Hunter ran 3 times more you multiply.

9216*3=276848

3 0
3 years ago
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